Answer:
<h2>A) 67</h2>
Step-by-step explanation:
The sum of the angles measures at one side of the parallelogram is 180°.
Therefore we have the equation:
x + 113 = 180 <em>subtract 113 from both sides</em>
x + 113 - 113 = 180 - 113
x = 67
255/56 = 4.55....
You can't have 0.55... buses so you round that up to 1.
Therefore 4+1 = 5 so 5 buses would be the minimum.
The answer is C because if you substitute in X-6 for the y in the first equation (since X-6 is also equal to y), you get 2x=16 which means x=8. There is only one option where 8 is equal to X, but just to check you can substitute it back into either of the original equations to make sure that y=2.
Answer:
x = 5 and x = -19
Step-by-step explanation:
You're on the right track. It's the "discriminant" that tells you what you want to know here. Before starting, arrange the terms of your quadratic in descending orders of x: 5x^2 + 14x - 19 = 0 (Note that I assumed you meant 14x instead of just 14).
Then the coefficients of this quadratic are a = 5, b = 14 and c = -19.
You are referring to the "quadratic formula." It states this:
-b ± √(b²-4ac)
x = -----------------------
2a
So, we insert the a, b and c values as indicated above:
-14 ± √( 14² - 4[5][-19] ) -14 ± √(196 - 4[5][-19] ) -14 ± √576
x = ----------------------------------- = ---------------------------------- = ----------------------
2(10) 20 20
This comes out to:
x = (-14 + 24) / 2 and x = (-14 - 24) / 2
or:
x = 5 and x = -19
Answer:
83
Step-by-step explanation:
f(x) = 7x - 1
Put x as 12.
f(12) = 7(12) - 1
f(12) = 84 - 1
f(12) = 83
